Find g'(0) if g(0) = cos 0 sin 0. [A] cos²0 [B] cos²0 + 1 [C] cos²0 sin²0 - - [D] sin²0 [E] sin²0 + cos

Q: Find h'(x) if h (x) (2 csc x) (5 sin x - 3x). O-2 cot2 x (5 sin x - 3x) O2 cotx (5 cotx - csc x) -2…

A: Givenhx=2cscx5sinx-3x We know that cscx=1sinx We know that dcscxdx=-cscx.cotx Product rule for…

Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

Q: Let f(x) = 8 cos x + 5 tan æ f'(x) =-8 sin(z) + cos(z)2 r(#) = 37 Find the exact trig values for…

A: Since, we have been given that f(x)=8 cos (x)+5 tan (x)Also, we have f'(x)=-8 sin (x)+5cos (x)2Our…

Q: If f(x) = = sin (3 – x), then f'(0) O 6 sin 3 cos 3 O 6 cos 3 O -2 sin 3 cos 3 O -2 cos 3 -2 cos O 2…

A: f(x)=sin2(3-x)

Q: If f(x) = sin(x³), find f'(x). 3x² cos(x³) Find f'(2). ४ OF

A:

Q: 1 Let f(x) = (5 sin x + 8 cos a)tan f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the product rule for…

Q: Sx-3) (sin (In x) + cos (In x)} dx equals

A: Here we have to evaluate I=∫(x-3)sin-1lnx+cos-1lnxdx

Q: 1/sin(x)/cos (x)+cos (x)/1+sin(x)=4 Prove

A: For x= pi/3

Q: cos( 2 sin1 (X/17)) = Select one: O 2x ( 289 - x )o./ 289 O ( 2x - 289 )/289 None O 34 x/( 289 + x)…

A:

Q: Express (cos(20)+i sin(20))*in exponential form

A:

Q: | 1' cos(T +1) dr. COS

A: using the integration by parts

Q: (cos(x)cot(x)/1-sin(x))-1=csc(x)

A: We have given (cos(x)cot(x)/1-sin(x))-1=csc(x)

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Given f'(x) = 6 cos x - 10 sinx and f(0) = -5, O find f(x) C

A:

Q: Find f'(x) where f(x) sin(cos(4x2 +1))

A: Consider the given function

Q: cos(A) cos(B)

A: Our Aim is to find the value of cos A cos B=?

Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

A:

Q: We know that a= 23 sin' (ax) cos(ax) dx = sin³ (ax) b Find b + C

A:

Q: Let f(x) = – 8 cos(cos (a®)). Then f'(x) =

A:

Q: 0 a "/2 ((+ cos@)-1)sin@d0 + a |((1+ cose) - 1)sinede 3 3 a ("/2 (1+3cos@+3cos 0+ cos 0-1)sin@de a3…

A:

Q: Determine the value of the serie 4∑ ((-1)^n)/(n^2) *cos(nx) at the point x=1

A:

Q: Let f(x) 3 sin(cos x) = f'(x) =

A: Using chain rule of differentiation.

Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: If f(x) = 6x + 3 sin x + 3 cos x, then f'(x) = parost bundredth ) and f'(4) = (Round

A: w